Question

Write a proportion to find the value of each x

Answer 1

Answer:

see explanation

Step-by-step explanation:

Since the triangles in both cases are similar then the ratios of corresponding sides are equal.

(1)

$\frac{EF}{HJ}$ = $\frac{FG}{JG}$, substitute values

$\frac{5}{3}$ = $\frac{x+9}{9}$ ( cross- multiply ) ← proportion

3(x + 9) = 45 ( divide both sides by 3 )

x + 9 = 15 ( subtract 9 from both sides )

x = 6

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(2)

$\frac{LM}{NM}$ = $\frac{KM}{LM}$, substitute values

$\frac{6}{5}$ = $\frac{x+5}{6}$ ( cross- multiply ) ← proportion

5(x + 5) = 36 ( divide both sides by 5 )

x + 5 = 7.2 ( subtract 5 from both sides )

x = 2.2